Respuesta :

Solution: The given equation in one variable is

→[tex]\frac {2p}{3} + 6 = \frac {7p}{6}[/tex]

Taking variable on one side and constant on one side

→ 6 = [tex]\frac {7p}{6} - \frac {2p}{3}[/tex]

L.C.M of (6,3) = 6

→ 6 = [tex]\frac{7p -4p}{6}[/tex]

→ 6 = [tex]\frac{3p}{6}[/tex]

→ 6 = p/2

→ p = 6 × 2 = 12

So,value of p is 12.

Answer:

P = 12

Step-by-step explanation:

Our goal is to isolate p on one side of the equation. One nice approach is to first multiply both sides by 6, which gets rid of all fractions:

6 x (2/3p + 6) = 6 x 7/6p

6 x 2/3p + 6 x 6 = 7 p

4p + 36 = 7p

Then subtracting 4p from both sides gives us 36 = 3p, and dividing both sides by 3 gives us 12 = p.